What is the Greatest Common Factor of 58409 and 58422?
Greatest common factor (GCF) of 58409 and 58422 is 13.
GCF(58409,58422) = 13
We will now calculate the prime factors of 58409 and 58422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58409 and 58422.
How to find the GCF of 58409 and 58422?
We will first find the prime factorization of 58409 and 58422. After we will calculate the factors of 58409 and 58422 and find the biggest common factor number .
Step-1: Prime Factorization of 58409
Prime factors of 58409 are 13, 4493. Prime factorization of 58409 in exponential form is:
58409 = 131 × 44931
Step-2: Prime Factorization of 58422
Prime factors of 58422 are 2, 3, 7, 13, 107. Prime factorization of 58422 in exponential form is:
58422 = 21 × 31 × 71 × 131 × 1071
Step-3: Factors of 58409
List of positive integer factors of 58409 that divides 58409 without a remainder.
1, 13, 4493
Step-4: Factors of 58422
List of positive integer factors of 58422 that divides 58409 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 107, 182, 214, 273, 321, 546, 642, 749, 1391, 1498, 2247, 2782, 4173, 4494, 8346, 9737, 19474, 29211
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58409 and 58422. The biggest common factor number is the GCF number.
So the greatest common factor 58409 and 58422 is 13.
Also check out the Least Common Multiple of 58409 and 58422
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